In a sample of 22 participants,suppose we conduct an analysis of regression with one predictor variable.If = 4.07,then what is the decision for this test at a .05 level of significance?
A)X significantly predicts Y.
B)X does not significantly predict Y.
C)There is not enough information to answer this question.

Question

In a sample of 22 participants,suppose we conduct an analysis of regression with one predictor variable.If  = 4.07,then what is the decision for this test at a .05 level of significance?
A)X significantly predicts Y. 
B)X does not significantly predict Y. 
C)There is not enough information to answer this question.

Quizplus · Accepted Answer

We need to compare the p-value with the chosen level of significance which is .05. If the p-value is less than .05, we reject the null hypothesis and conclude that there is a significant relationship between the predictor variable (X) and the dependent variable (Y). If the p-value is greater than or equal to .05, we fail to reject the null hypothesis and conclude that there is no significant relationship between X and Y. Since we don't know the p-value, we cannot conclude that X significantly predicts Y. However, if the p-value were less than .05, we would have chosen answer A. Since the given information does not allow us to choose answer A, the best choice is answer B which is the only remaining option.

In a Sample of 22 Participants,suppose We Conduct an Analysis